results when the region in the first quadrant bounded by the curve x2 + y2 = 82 from x = 3.4 to x = 8 is revolved about

Q: Evaluate the integral of the following using Miscellaneous Substitution 3. x /x*+ 1dx

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Q: 1+9n² - b) Determine whether the sequence a, =. converges or diverges. If it converges, 1+n find the…

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Q: The exact area of the region enclosed by f(x) = -(x+ 2)(x-2) and g(x) = (r+ 2)(x- 2) is given by…

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Q: 4x +2 (x + 1) >7+x

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Q: Evaluate the integral of the following using Miscellaneous Substitution X Sdx 1+x 5.

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Q: Question :44 A 240 mL pharmaceutical liquid suspension dosage form is settling at a rate of 4.8…

A: This is a problem related to divination concept. Based on the given rate and volume we will…

Q: Consider the curve parametrized by x = t +1 and y = t6 + 4t. dy in terms of t. d.x a) Find Preview…

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Q: H.W: Which of the sequences {a,„} converge and which diverge: 7 1. a, = 2+ (0.1)" 2. а, n

A: A sequence <an> is converges if limn→∞ an is finite and exists.

Q: Va - 2 find: Va + 2 If f(x) = f'(x) = f'(2) = %3D Submit Question

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Q: x dx 2 /9 – 4x²

A: Using integration

Q: Use a Maclaurin series derived in class (a) f(x) = x arctan x (b) f(x) = x²e=x

A: Given, f(x)=sin^2 (x)

Q: H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during…

A: H(t) is the rate of hoverboard sales, in hoverboards per day. To get the exact number of sales over…

Q: Power Reducing Formulas

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Q: %3D A business's marginal cost in dollars per unit, is given by CI(x) = 0.04r² +5 where I is the…

A: integration

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim tto0 2t2 +3' 2t (?,?)

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Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: What is the number halfway between 3 - 1/3 and 2 + 5/7 ?

A: Average

Q: Describe the graph of the equation x2 + 4x – 16y + 36 = 0. -

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Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 5t² + 31t +…

A: The objective of the question is determine the growth rate.

Q: dx 4 XVx - 4

A: We need to find the solution for the given  integral by trigonometric substitution.

Q: Find the volume of the shaded region when revolved about the indicated axis. ... 21 x = /7+ y 14 (А…

A: This question is based on application of integration .

Q: Nx+ 10 - 100 Rationalize the numerator of

A: Solution of given question is written in below steps.

Q: Find the first four terms of the Taylor expansion of the solution to the given differential equation…

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Q: If a rock is thrown into the air on small planet with a velocity of 30 m/s, its height (in meters)…

A: Given;  y=30t-4.9t2

Q: 16 Find the constants a, b, c, d, e for the ellipse r = 6+2cos0

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Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯²(xi+ yj), and C : r(t) = e' sin ti+ e cos…

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Q: Use Green's theorem to calculate.(2x³ – y*)dx + (x³ +y*)dy, where C is the boundary of the annular…

A: Apply greens theorem

Q: 1 Let F be a vector field in IR whose components have continuous partial derivatives. Consider the…

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Q: dy 1. Find for the following: - dr f. 4x² - 9y² = 36 g. -+-=1 X y ... h. 3x°y+2xy² = 4 i. (3 - 2x) =…

A: f.4x2-9y2=36Differentiate w.r.t.x4×2x-9×2ydydx=08x-18ydydx=08x=18ydydxDivide18y on both…

Q: 'ind the work done by the three-dimensional inverse-square field (r) = r on a particle that moves…

A: Given problem:-

Q: Please

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Q: If a person learns y items in æ hours, as given by y = 19V2?, find the rate of learning for a person…

A: We need to find the rate of learning.

Q: r(t) = 4 cos(t)i+4sin(t)j; t = 3 /3 1 2/2' 2/2 -V3 2/2' 2/2 1

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Q: H.W: which series converge and which diverge: 1. E 1 1 2. n=1 n=1

A: This is a problem related to series and sum calculation. Based on the general formula and concepts…

Q: f (x) where f(x) and g(x) are seen in the graph. lim r-0 g(x) y. 5 3 f(a) 2 -5 -4 -3 -2 2. 9(x) -5

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Q: A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The…

A: Here, the given concentration function is: C(x)=0.9x2 where x is the distance away from the plant in…

Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

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Q: Solve for the Taylor series of the given function about the point x = 1. You can write the first 5…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x – z)i+ (y – x)j+ (z – y)k - across…

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Q: Write the equation of a sine or cosine function to describe the graph.

A: We need to find equation of sine/cosine function.

Q: Q11. Which one of these expressions in words does not equal 1? A. The natural log, In of the natural…

A: To find the Expression in words does not equal to 1

Q: Given the Total Cost function, TC = 10 + 5Q?, find the marginal cost function, MC when Q = 10. [2]

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Q: Verify the formula F.n dS div FdV in the Divergence Theorem by evaluating the surface integral and…

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Q: Find T(t) and N(t) at the given point. r(t) = 10 cos(t)i + 10 sin(t)j + tk; t = 2 TE) -| 6) =

A: we have to find unit tangent vector and normal vector.

Q: [3 – 5i 2+41. L6 + 7i 1+8i! find the conjugate of its transpose. Given A =

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: Solution is given below:

Q: Q8. Identify the function, whose derivative is defined below: (x + h)2 – x? dy - lim dx h→0 h A.…

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Q: The integral of the given function csc °x dx is equal to 3cos x-10stn²x cos>x-15sin"xcosx + C…

A: I=∫ csc6x dx =∫ (cot2x+1)2 csc2x dxu=cot xdu=-csc2x dx=∫ -(u2+1)2 du      =∫(-u4-2u2-1) du…

Q: What is the difference between a function and a parametric curve? Make sure to justify your answer.…

A: This is a problem related to function and parametric equation for the same. Based on the general…

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: The objective of the question is evaluate the indefinite integral using the Green Theorem.